mathematics

John Grue

John Grue is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand John Grue rather than just read about it. In short: John Grue (born 1957) is a Norwegian applied mathematician noted for his contributions to marine hydrodynamics and internal waves. He took the cand.real. degree in 1982 and the dr.philos. degree in 1987, both at the University of Oslo.

Key takeaways

John Grue belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect John Grue to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of John Grue from memory before moving on to harder problems.

Reference excerpt

John Grue (born 1957) is a Norwegian applied mathematician noted for his contributions to marine hydrodynamics and internal waves. He took the cand.real. degree in 1982 and the dr.philos. degree in 1987, both at the University of Oslo. He stayed at the Massachusetts Institute of Technology from 1987 to 1988, and was appointed associate professor at the University of Oslo in 1990. In 1994 he was promoted to professor. He has later served as guest professor at Harbin Engineering University in China. He was Chair of the Abel Board 2018-2022 of the Abel Prize in mathematics. He is a member of the Norwegian Academy of Science and Letters and the Norwegian Academy of Technological Sciences.

References

Worked examples

Example 1 — a first encounter with John Grue

Start with the simplest possible case. Write down what John Grue claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to John Grue before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about John Grue ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of John Grue

In research: John Grue appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses John Grue in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: John Grue is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1957 births, Academic staff of the University of Oslo, European mathematician stubs, so understanding it makes those chapters shorter.
In everyday life: Look for John Grue outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study John Grue in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what John Grue means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain John Grue out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is John Grue in simple terms?

Why does John Grue matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study John Grue?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on John Grue.